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Finding the Fourth Proportional to 508,448.72, 701,659.32 and 282,093.68

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Solution

The fourth proportional to 508,448.72, 701,659.32 and 282,093.68 is: 389,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,448.72 : 701,659.32 = 282,093.68 : x
  2. Step 2: Convert to fraction form
    508,448.72/701,659.32 = 282,093.68/x
  3. Step 3: Cross multiply
    508,448.72x = 701,659.32 × 282,093.68
  4. Step 4: Simplify right side
    508,448.72x = 197,933,659,685.10
  5. Step 5: Solve for x
    x = 197,933,659,685.10/508,448.72
  6. Step 6: Final answer
    x = 389,289.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.